Question

I need help! I’m struggling. I just need to find “a”

Answer 1

From the question, we can see that the sides of the diagram are similar.

Taking ratio of the similar sides we have

`\begin{gathered} (6)/(8)=(6+a)/(8+4) \\ \end{gathered}`

Solving we have

`\begin{gathered} (6)/(8)=(6+a)/(8+4) \\ (6)/(8)=(6+a)/(12) \\ cross\text{ multiplying we have } \\ 8*\left(6+a\right)=6*12 \\ 48+8a=72 \\ 8a=72-48 \\ 8a=24 \\ a=(24)/(8) \\ a=3 \end{gathered}`

Hence the answer is a = 3